You are installing a new deck around your pool. The pool is rectangular with the dimensions 8m by 4m. The deck will surround the pool and will have a width by 2m. How much security fencing is required around the deck.
dimensions are
length = 8+4 = 12
width = 4 +4 = 8
2 L + 2 w = 24 + 16 = 40
To calculate the amount of security fencing required around the deck, we need to calculate the perimeter of the deck.
The deck surrounds the pool, so its dimensions will be larger than the pool itself. The deck width is given as 2m, which means it extends 2m outward from each side of the pool.
The length of the deck is equal to the length of the pool plus twice the deck width (2m), since the deck extends on both sides.
Length of deck = length of pool + (2 x deck width)
Length of deck = 8m + (2 x 2m)
Length of deck = 8m + 4m
Length of deck = 12m
Similarly, the width of the deck is equal to the width of the pool plus twice the deck width (2m), since the deck extends on both sides.
Width of deck = width of pool + (2 x deck width)
Width of deck = 4m + (2 x 2m)
Width of deck = 4m + 4m
Width of deck = 8m
Now, we can calculate the perimeter of the deck by adding the lengths of all four sides.
Perimeter of deck = 2 x (length of deck + width of deck)
Perimeter of deck = 2 x (12m + 8m)
Perimeter of deck = 2 x 20m
Perimeter of deck = 40m
Therefore, you will need 40 meters of security fencing to surround the deck.